Fixed point indices of iterated maps
WebDold, A.. "Fixed point indices of iterated maps.." Inventiones mathematicae 74 (1983): 419-436. . WebOne-dimensional maps (sometimes called difference equations or iterated maps or recursion relations) are mathematical systems that model a single variable as it evolves over …
Fixed point indices of iterated maps
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WebThe fixed point index of fibre-preserving maps. Invent. Math. 25, 281–297 (1974) Google Scholar. Dold, A.: The fixed point transfer of fibre-preserving maps. Math. Z. 148, … WebFixed point indices of iterated maps A. Dold* Mathematisches lnstitut der Universit~it, Im Neuenheimer Feld, D-6900 Heidelberg, Federal Republic of Germany 1. …
WebSep 1, 2011 · We give a complete description of possible sequences of indices of iterations of f at an isolated fixed point, answering in affirmative the Chow, Mallet-Paret and Yorke … WebIn mathematics, an iterated function is a function X → X (that is, a function from some set X to itself) which is obtained by composing another function f : X → X with itself a certain number of times. The process of repeatedly applying the same function is called iteration.In this process, starting from some initial object, the result of applying a given function is fed …
WebFixed point indices of iterated smooth maps in arbitrary dimension. Article. Sep 2011; Grzegorz Graff; ... We compute the fixed point indices of the iterates of f at p, i(R2)(f(k), p), and we ... WebFixed point of a map iteration sequence Ask Question Asked 5 years, 7 months ago Modified 5 years, 7 months ago Viewed 77 times 2 Let ( X, ‖ ⋅ ‖) be a Banach space and …
WebDec 28, 2007 · A local index for isolated fixed-points is introduced, and the theorem of Shub and Sullivan on the vanishing of all but finitely many Dold indices for a continuously …
WebThe realizability of sequences satisfying Dold's condition at a single fixed point of a continuous map on R3 is proved. Indices of a fixed point (under iteration) are investigated in the case of a ... chitkara phd feesWebJan 15, 2002 · The classical theorem of Shub and Sullivan states that a sequence of local fixed point indices of iterations of a C 1 self-map of R m is periodic. The paper generalizes ... In this expository paper we survey recent results on the form of indices of iterated planar maps, formulate some open questions and give new proofs for theorems concerning C ... chitkara international school websiteWebThis paper studies the iteration of maps of the interval which have negative Schwarzian derivative and one critical point. The maps in this class are classified up to topological … grasping a caregiver\\u0027s fingerWebDec 1, 2008 · The realizability of sequences satisfying Dold's condition at a single fixed point of a continuous map on R3 is proved. Indices of a fixed point (under iteration) … grasp in educationWebby Davide L. Ferrario - In Handbook of topological fixed point theory, 2005 Let G be a finite group acting on a topological space X, which is termed a G-space. We recall a few basic … grasping appendage crosswordWebDec 1, 2007 · Indices of a fixed point (under iteration) are investigated in the case of a smooth mapping. A linear lower bound on the number of periodic points of a smooth … chitkara phone numberWebMay 15, 2015 · We give a systematic exposition of the construction and properties of Lefschetz fixed-point indices for the n-valued maps studied by Schirmer, Brown and others, using techniques introduced by Dold. In particular, we discuss Dold’s fixed-point transfer [Math. Z. 148 (1976), 215–244] and a homotopy version of that transfer … grasping appendage crossword clue